Robust observer for a class of uncertain linear systems

In this paper a novel framework for robust observer for linear systems with parametric uncertain state matrix is introduced. A new class of high gain observer which incorporates a second gain update output estimation error is developed. With lesser restrictive conditions, it is shown that the conceived high gain observer for a chosen nominal system is insensitive to non-bounded parameters variation and provides good performances. Analytical developments are detailed and adopted choices are justified. Convergence properties for the robust observer are proved through Lyapunov method. Approach validity is illustrated via a detailed numerical example with extensive simulation results.